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Finding the Fourth Proportional to 606.30, 908.37 and 413.52

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Solution

The fourth proportional to 606.30, 908.37 and 413.52 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 908.37 = 413.52 : x
  2. Step 2: Convert to fraction form
    606.30/908.37 = 413.52/x
  3. Step 3: Cross multiply
    606.30x = 908.37 × 413.52
  4. Step 4: Simplify right side
    606.30x = 375,629.16
  5. Step 5: Solve for x
    x = 375,629.16/606.30
  6. Step 6: Final answer
    x = 619.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.